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Finding the Fourth Proportional to 20,646.48, 30,958.38 and 9,547.05

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Solution

The fourth proportional to 20,646.48, 30,958.38 and 9,547.05 is: 14,315.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,646.48 : 30,958.38 = 9,547.05 : x
  2. Step 2: Convert to fraction form
    20,646.48/30,958.38 = 9,547.05/x
  3. Step 3: Cross multiply
    20,646.48x = 30,958.38 × 9,547.05
  4. Step 4: Simplify right side
    20,646.48x = 295,561,201.78
  5. Step 5: Solve for x
    x = 295,561,201.78/20,646.48
  6. Step 6: Final answer
    x = 14,315.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.